2,443 research outputs found
On extended thermonuclear functions through pathway model
The major problem in the cosmological nucleosynthesis is the evaluation of
the reaction rate. The present scenario is that the standard thermonuclear
function in the Maxwell-Boltzmann form is evaluated by using various
techniques. The Maxwell-Boltzmannian approach to nuclear reaction rate theory
is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases
of distribution functions. The main purpose of this paper is to investigate in
some more detail the extended reaction probability integral in the equilibrium
thermodynamic argument and in the cut-off case. The extended reaction
probability integrals will be evaluated in closed form for all convenient
values of the parameter by means of residue calculus. A comparison of the
standard reaction probability integrals with the extended reaction probability
integrals is also done.Comment: 21 pages, LaTe
Fourier Spectrum Analysis of the New Solar Neutrino Capture Rate Data for the Homestake Experiment
The paper provides results of the Fourier spectrum analysis of the new Ar-37
production rate data of the Homestake solar neutrino experiment and compares
them with results for earlier data, revealing the harmonic content in the Ar-37
production in the Homestake experiment.Comment: 4 pages, 6 figures combined in one eps file, uses espcrc1.sty
(included), to appear in Nuclear Physics
Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
The pathway model of Mathai (2005) is shown to be inferable from the
maximization of a certain generalized entropy measure. This entropy is a
variant of the generalized entropy of order 'alpha', considered in Mathai and
Rathie (1975), and it is also associated with Shannon, Boltzmann-Gibbs, Renyi,
Tsallis, and Havrda-Charvat entropies. The generalized entropy measure
introduced here is also shown to haveinteresting statistical properties and it
can be given probabilistic interpretations in terms of inaccuracy measure,
expected value, and information content in a scheme. Particular cases of the
pathway model are shown to be Tsallis statistics (Tsallis, 1988) and
superstatistics introduced by Beck and Cohen (2003). The pathway model's
connection to fractional calculus is illustrated by considering a fractional
reaction equation.Comment: LaTeX, 22 page
- …